dL = Diameter of Largest Particle
dS = Diameter of Smallest Particle
D = Average Diameter
Average Diameter Calculator
The Average Diameter is typically used to find the mean or average diameter of a group of objects, such as pipes, rods, or cylindrical items, that may vary in size. It is often used when you need to calculate the overall average size of objects that are not uniform in diameter.
Formula for Average Diameter:
If you have several diameters (d₁, d₂, d₃,..., dn), the average diameter (D_avg) is calculated as:

Where:
- Davg = Average diameter
- d1,d2,d3,…,dn = Individual diameters
- n= Number of objects or measurements
Example Calculation:
Suppose you have the following diameters for a set of pipes:
- d1=5 cm
- d2=6 cm
- d3=7 cm
- d4=8 cm
To find the average diameter:

So, the average diameter is 6.5 cm.
Applications of Average Diameter:
- Engineering: To find the average diameter of pipes, shafts, or any cylindrical elements in mechanical systems.
- Materials Science: To analyze particle sizes or fibers used in composites or filtration systems.
- Geology: To calculate the average diameter of rock fragments or particles in soil or gravel.